12891287808 has 576 divisors, whose sum is σ = 47224576000. Its totient is φ = 3386105856.

The previous prime is 12891287803. The next prime is 12891287873. The reversal of 12891287808 is 80878219821.

12891287808 is a `hidden beast` number, since 1 + 289 + 1 + 287 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12891287803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34013763 + ... + 34014141.

Almost surely, 2^12891287808 is an apocalyptic number.

12891287808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12891287808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23612288000).

12891287808 is an abundant number, since it is smaller than the sum of its proper divisors (34333288192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12891287808 is a wasteful number, since it uses less digits than its factorization.

12891287808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 12891287808 in words is "twelve billion, eight hundred ninety-one million, two hundred eighty-seven thousand, eight hundred eight".